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Finding the Third Proportional to 212,913 and 333,998

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Solution

The third proportional to 212,913 and 333,998 is: 523,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,913 : 333,998 = 333,998 : x
  2. Step 2: Convert to fraction form
    212,913/333,998 = 333,998/x
  3. Step 3: Cross multiply
    212,913x = 333,998 × 333,998
  4. Step 4: Simplify right side
    212,913x = 111,554,664,004
  5. Step 5: Solve for x
    x = 111,554,664,004/212,913
  6. Step 6: Final answer
    x = 523,944.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.